Abstract
Abstract The well known formulas for computing the partial molar functions from a given mean molar function are treated as deferential equations for computing the mean molar function from any given partial molar function. Solutions do not depend on the number of components, but only on the choice of three indices: the index d of the dependent mole fraction xa to be eliminated prior to any computations, the index j of a pivot mole fraction xj and the index i of the partial molar function yi. An arbitrary number of additional mole fractions of the other components safe xd may be linked to the pivot mole fraction xj. The simple solution: y = (xj - δij) Iij, yi = (xj - δij)2 Xij and Xij = d Iij/dxj holds for an arbitrary number of components, if the (c - 2) mole fractions xj safe xd and xj are transformed to new variables found from the auxiliary equations. Three different cases arise if either i = d, i = j or i ≠ d, i ≠ j is chosen. Formulas for the three sets are provided. As an example a simple interpolation formula for ternary systems is discussed.
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